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Tuning to the Occult Scale of Sound
July 14, 2009
Patrick Mulcahy
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AstroQab Publishing
2 Esoteric Harmonics
Esoteric Harmonics
Tuning to the Occult Scale of Sound
Patrick Mulcahy
[This research is still progressing.]
[Produced in A4 page format for easy printing.]
[Please click the lotus to make a donation! Thank you!]
This document is provided as a theoretical starting point
for experimenters in the occult use of sound.
Author: Patrick Mulcahy
AstroQab Publications 2009
Copyright © Patrick Mulcahy 2009
Original Release Date: 29th May, 2009 [at 26°]
(If the date on the front cover is different to the above then this is a later edition.)
Cover Picture: Waveforms produced by the seven chakra tones.
Sound files included in this document are Windows® Media Audio files (WMA).
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3 Esoteric Harmonics
Table of Contents
Table of Contents .......................................................................................................................... 3
The Occult Scale of Sound .............................................................................................................. 4
The Doubling of the Octave ........................................................................................................... 7
An Alphabet of Sound .................................................................................................................. 11
The Seven Major Esoteric Tones .................................................................................................. 14
Harmonic Heart-Brain Resonance ................................................................................................ 16
Chakra Tone Meditations............................................................................................................. 19
The King’s Chamber Tone ............................................................................................................ 21
The Solar Logos Tone ................................................................................................................... 25
Angel Meditations ....................................................................................................................... 26
Astrological Meditations .............................................................................................................. 28
The Pluto Tone ............................................................................................................................ 31
Conclusion ................................................................................................................................... 33
Appendix One .............................................................................................................................. 38
Appendix Two.............................................................................................................................. 42
Esoteric Services .......................................................................................................................... 49
NOTE: To play the sound files included in this document double-click the
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icons.
4 Esoteric Harmonics
The Occult Scale of Sound
“In the eternal music of the spheres we find the perfect scale corresponding to the colours,
and in the number, determined by the vibrations of colour and sound, [and] which
“underlies every form and guides every sound,” we find the summing-up of the Manifested
Universe.”1
The standard chromatic equal-tempered musical scale may serve as a good basis for song writing,
but how closely does it reflect the vibrational structure of the universe? This booklet reveals how to
recalibrate the musical octaves so that they synchronize perfectly with the underlying metaphysical
structure of our universe. The resulting tones can then be employed in practical esoteric work, or in
music composition.
It is not generally known, but the standard Western system of musical pitch (i.e. note frequency), in
part, approximates to the same frequency pattern as our solar system (i.e. as taught by Theosophy).
This should come as no surprise since the universe can be thought of as an enormous cluster of
interwoven vibrating (or oscillating) energy waves. Indeed, it could be said that the vibrations that
compose our universe (and everything in it) represent the reverberating sound of the Voice of God.
Therefore, it is important for us to have a musical scale that resonates sympathetically with the Allpervading divine song. The internationally recognized scale of musical pitch falls short of the mark
however, and needs some fine-tuning to bring it into perfect alignment with the natural structure,
order, and harmony of the universe.
In this treatise we are only concerned with the so-called major scale of note frequencies of which
there are seven per octave. These are represented by the white keys of a piano keyboard. In the
standard system the frequencies of these major scale notes are determined according to an equal
twelve-fold division of the octave which has the effect of also producing five extra notes called
sharps (or flats). The sharp (or flat) notes are represented by the black keys of a piano keyboard. The
sharps/flats are not included in the esoteric harmonic scale because they are a by-product of the
twelve-fold division. Of course, the seven notes of the standard major scale are also born of the
twelve-fold division, but unlike the sharps/flats, they do approximate quite closely to the notes of
the esoteric heptatonic scale. The note frequencies of the esoteric scale are based on a seven-fold
division—or rather, a seven times seven-fold division. It is interesting therefore, that the major note
frequencies of the standard twelve-fold equal-tempered scale align so closely with the esoteric
heptatonic scale frequencies.
1
H.P. Blavatsky. Collected Writings. Vol. II. Pg. 561.
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5 Esoteric Harmonics
According to Theosophical teachings the number of sub-planes within each of the seven planes of
our solar system is 49. Similarly, the frequencies of the natural notes of our musical system (i.e. as
represented by the white keys of a piano keyboard) can be re-calculated so that they fit neatly into a
framework that is based on multiples of the number 49. And this can be done without varying the
notes significantly from their original values in the standard system.
# Note Esoteric (x49)
1.
C1
2.
D1
3.
E1
4.
F1
5.
G1
49 Hz
1 x 49
6.
A1
7.
B1
8.
C2
9.
D2
10. E2
11.
F2
12. G2
98 Hz
2 x 49
13. A2
14. B2
15. C3
16. D3
147 Hz 3 x 49
17. E3
18.
F3
19. G3
196 Hz 4 x 49
20. A3
21. B3
245 Hz 5 x 49
22. C4
23. D4
294 Hz 6 x 49
24. E4
25.
F4
343 Hz 7 x 49
26. G4
392 Hz 8 x 49
27. A4
441 Hz 9 x 49
28. B4
490 Hz 10 x 49
29. C5
539 Hz 11 x 49
30. D5
588 Hz 12 x 49
Standard
49 Hz
98 Hz
146.83 Hz
196 Hz
246.94 Hz
293.66 Hz
349.23 Hz
392 Hz
440 Hz
493.88 Hz
523.25 Hz
587.33 Hz
In the table above, column three lists the frequency values of some of the musical notes of the
esoteric scale, while column five shows their conventional 2 values. The conventional values are
based on an international standard of tuning that assigns a frequency of 440 hertz 3 to the note A4.
2
3
The conventional values vary slightly in their decimals depending on the source consulted.
A hertz is a unit of frequency equal to one cycle per second.
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6 Esoteric Harmonics
From the fixed value of A4 the other note frequencies are then determined using a standard
mathematical formula (or logarithm) that defines a twelve-fold division. If the creators of the
conventional system were aware of the esoteric sub-stratum that underlies the formation of our
musical universe they might have assigned A4 the esoteric frequency value of 441, or 9 x 49. 4 5
The similarity between the esoteric musical model and the standard musical scale becomes obvious
when we examine the frequencies of the natural notes from F4 to E5…
Note Esoteric (x49) Standard
F4
343 Hz
7
349.24 Hz
G4
392 Hz
8
392 Hz
A4
441 Hz
9
440 Hz
B4
490 Hz
10 493.92 Hz
C5
539 Hz
11 523.28 Hz
D5
588 Hz
12 587.36 Hz
E5
637 Hz
13
659 Hz
As you can see, the differences between the esoteric and standard note frequencies are relatively
small, suggesting that the creators of the standard tuning system did subconsciously base their
system on the All-pervading universal esoteric structure. They appear to have sensed it intuitively,
but were unable to precisely reproduce it.6 The esoteric note values that I present in this short
treatise however, conform precisely to the same esoteric formula that underscores the
manifestation of our universe. This formula is simple, and yet profound.
All the note frequencies below F4 can be calculated using the esoteric values in the table above
because the parallel notes of the lower octaves are half the value of the corresponding higher note.
So for example, the note E4 is precisely half the frequency value of E5. Similarly, the parallel notes of
the higher octaves are exactly double the values of the corresponding lower notes, so for example,
the frequency value of E6 is precisely double the value of E5.
Even though the frequency variations between the esoteric and standard systems are quite small,
there is likely a major difference in the perceptible (and imperceptible) effects of the esoteric
frequencies when compared to the conventional note frequencies. Vibrations are subtle and need to
be finely tuned in order to achieve the desired physical and/or psychological effect or response.
4
th
Note the interesting synchronicity—that A4 is the 49 key of the standard piano keyboard.
The natural resonance of the human body is also based on the number seven. See the chapter: Harmonic
Heart-Brain Resonance.
6
That is, because of their dependence on the number twelve in their calculations.
5
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7 Esoteric Harmonics
The Doubling of the Octave
You will notice (in these tables) that the note F4 begins the series of adjacent notes with frequencies
that are whole number multiples of 49. The frequency of F4 is 343 (i.e. 7 x 49) hertz which is the
exact number of sub-planes that constitute the seven planes of our solar system. The notes of the
octaves below F4 have frequencies that are mainly fractional multiples of 49. In other words, there is
a dimensional shift in the musical scale that occurs after the note F4 is reached.
F4
7
G4
8
A
9
B
10
C5
11
+1
D
12
E
13
F5
14
G5
16
A
18
B
20
C6
22
+2
D
24
E
26
F6
28
G6
32
A
36
B
40
C7
44
+4
D
48
E
52
F7
56
G7
64
A
72
+8
The esoteric values of the note frequencies that follow after F4 are based on a numerical series
involving the doubling of whole numbers. As the series progresses an incremental increase occurs
between the multipliers of the notes F and G of each octave. The middle row of numbers (in the
table above) represent the multipliers that are applied to the key number 49 in order to determine
the esoteric frequency of each note.
The multipliers in each group of seven are precisely double the multipliers of the previous group.
The incremental jump is due to a natural process that occurs when a series of numbers is doubled
and redoubled.
G A B
+1 8 9 10
+2 16 18 20
+4 32 36 40
+8 64 72 80
C
11
22
44
88
D
E
F
12 13 14
24 26 28
48 52 56
96 104 112
When seven is doubled the result is 14. When eight is doubled the result is 16. This incremental
jump of two units between 14 and 16 begins the second series of frequency multipliers. Thus, the
second series of numbers is characterised by a two unit difference between them. When 14 is
doubled the result is 28—which is two units more than the previous number in the series, but when
we double 16 we get 32. The difference between 28 and 32 is four units, and thus the third series of
frequency multipliers is characterised by a four unit difference.
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Note
G1
A1
B1
C2
D2
E2
F2
G2
A2
B2
C3
D3
E3
F3
G3
A3
B3
C4
D4
E4
F4
G4
A4
B4
C5
D5
E5
F5
G5
A5
B5
C6
D6
E6
F6
G6
A6
B6
C7
D7
E7
F7
G7
Esoteric
49 Hz
55.125 Hz
61.25 Hz
67.375 Hz
73.5 Hz
79.625 Hz
85.75 Hz
98 Hz
110.25 Hz
122.5 Hz
134.75 Hz
147 Hz
159.25 Hz
171.5 Hz
196 Hz
220.5 Hz
245 Hz
269.5 Hz
294 Hz
318.5 Hz
343 Hz
392 Hz
441 Hz
490 Hz
539 Hz
588 Hz
637 Hz
686 Hz
784 Hz
882 Hz
980 Hz
1078 Hz
1176 Hz
1274 Hz
1372 Hz
1568 Hz
1764 Hz
1960 Hz
2156 Hz
2352 Hz
2548 Hz
2744 Hz
3136 Hz
(x49)
1
Page 8
2
3
4
5
6
7
8
9
10
11
12
13
14
16
18
20
22
24
26
28
32
36
40
44
48
52
56
64
Standard
49 Hz
55 Hz
61.74 Hz
65.41 Hz
73.42 Hz
82.41 Hz
87.31 Hz
98 Hz
110 Hz
123.48 Hz
130.82 Hz
146.84 Hz
164.82 Hz
174.62 Hz
196 Hz
220 Hz
246.96 Hz
261.64 Hz
293.68 Hz
329.64 Hz
349.24 Hz
392 Hz
440 Hz
493.92 Hz
523.28 Hz
587.36 Hz
659 Hz
698 Hz
784 Hz
880 Hz
988 Hz
1047 Hz
1175 Hz
1319 Hz
1397 Hz
1568 Hz
1760 Hz
1976 Hz
2093 Hz
2349 Hz
2637 Hz
2794 Hz
3136 Hz
9 Esoteric Harmonics
This mathematical pattern is also represented in the lower frequency scales, but in a different
format.
Note
G1
A1
B1
C2
D2
E2
F2
G2
A2
B2
C3
D3
E3
F3
G3
A3
B3
C4
D4
E4
F4
Esoteric
49 Hz
55.125 Hz
61.25 Hz
67.375 Hz
73.5 Hz
79.625 Hz
85.75 Hz
98 Hz
110.25 Hz
122.5 Hz
134.75 Hz
147 Hz
159.25 Hz
171.5 Hz
196 Hz
220.5 Hz
245 Hz
269.5 Hz
294 Hz
318.5 Hz
343 Hz
(x49)
1
2
3
4
5
6
7
Standard
49 Hz
55 Hz
61.74 Hz
65.41 Hz
73.42 Hz
82.41 Hz
87.31 Hz
98 Hz
110 Hz
123.48 Hz
130.82 Hz
146.84 Hz
164.82 Hz
174.62 Hz
196 Hz
220 Hz
246.96 Hz
261.64 Hz
293.68 Hz
329.64 Hz
349.24 Hz
The three lower scales of frequencies (colour-coded green, blue, and red in the table above) each
contain at least one frequency that is a whole number multiple of 49. The number of these major
tones in each group is based on the pattern 1, 2, 4. Thus there is one major tone in the first group,
two in the second, and four in the third. This is the same mathematical pattern on which the higher
note frequencies (i.e. beyond F4) are based.
As you can see (from the table above) the note G begins each esoteric octave. The series of notes
from G1 to F4 represents a complete esoteric cycle that extends from 1 (x 49) to 7 (x 49). The final
note (i.e. F4) of this important series symbolizes the totality of our universe because its frequency is
343 Hz. This number (i.e. 343) is the exact number of sub-planes of the cosmic physical plane—i.e.
within which our universe exists.
The ancient musical seers (and some scientists) recognized the importance of ‘middle F’ (i.e. the
note F4) and saw it as the key-note of nature.
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10 Esoteric Harmonics
“The aggregate sound of Nature, as heard in the roar of a distant city, or the waving
foliage of a large forest, is said to be a single definite tone of appreciable pitch. This tone is
held to be the middle F of the piano-forte, which may therefore, be considered the keynote of nature.” (Principles of Physics, by Prof. B. Siliman.) The Chinese recognised it some
thousands of years ago, by teaching that ‘the waters of the Hoang-ho, rushing by, intoned
the kung’ called ‘the great tone’ in Chinese music, and one which corresponds exactly with
our F, now considered by modern physicists to be the actual tonic of Nature.” 7
Interestingly, this note F4 is also associated (in the esoteric scale) with the crown chakra of the
human energy system. (See below.)
In the standard scale of pitch the note F4 is tuned to 349.24 Hz, but in the esoteric scale it is
calculated to be precisely 343 Hz (i.e. 7 x 49). The numerical difference between these two
frequencies is relatively small, but metaphysically speaking, the difference is extremely significant.
Accuracy is essential if we wish to generate a sound that reflects the esoteric structure of the
universe, and that therefore harmonizes perfectly with the natural world.
“Just as each plane has its seven sub-planes, so likewise each sub-plane can be subdivided,
thus making forty-nine fires on every plane, or the three hundred and forty-three fires of
the solar system. Herein can be found the clue to the mystery of the "fourth between the
three" which has at times bewildered students of the occult records. There are several
ways of reading these figures, 3 4 3, but the only occult method which can be hinted at
here, lies in the recognition of the three higher planes, the three lower planes, the fourth
plane of meeting between them. This fourth plane has occultly been called ‘the meeting
place.’”8
“It must be remembered that every scheme has seven chains; that each chain has seven
globes, making a totality of forty-nine globes; that each globe is again in turn occupied, by
the life of the Logos during what we call seven rounds, making literally three hundred and
forty-three incarnations, or fresh impulses to manifest.”9
7
The Theosophist. Vol. I. No. 2. November, 1879. From a note in an article called Hindu Music.
A Treatise on Cosmic Fire, by Alice Bailey. Lucis Press. Pp. 905-906.
9
Ibid. Pp. 366-367.
8
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11 Esoteric Harmonics
An Alphabet of Sound
There is a similarity of structure that exists between the esoteric heptatonic musical scale and the
Jacob’s Wheel spiral-cycle. This is due to the fact that both systems are based on multiples of the
number 49. For example, there are 147 phases (3 x 49) within each arc of the Jacob’s Wheel spiral,
and there are a total of 147 spokes (or radiating arms) within the twenty-one minor mandalas of
Jacob’s Wheel. Also, there are 441 phases (9 x 49) in the complete spiral-cycle of Jacob’s Wheel.
The Jacob’s Wheel system is based on the twenty-two letters of the Hebrew alphabet, and for the
purpose of using sound to assist us in communicating with the devas of the planes10 we can also
assign the Hebrew letters to the 22 musical notes from G1 to G4.
Note
A4
G4
F4
E4
D4
C4
B3
A3
G3
F3
E3
D3
C3
B2
A2
G2
F2
E2
D2
C2
B1
A1
G1
Esoteric
441 Hz
392 Hz
343 Hz
318.5 Hz
294 Hz
269.5 Hz
245 Hz
220.5 Hz
196 Hz
171.5 Hz
159.25 Hz
147 Hz
134.75 Hz
122.5 Hz
110.25 Hz
98 Hz
85.75 Hz
79.625 Hz
73.5 Hz
67.375 Hz
61.25 Hz
55.125 Hz
49 Hz
(X49)
9
8
7
6
5
4
3
2
1
Chakra
Hebrew
Vowels Hebrew (SY)
11
(All letters)
Earth Logos12
Alef (‫)א‬
Air
Crown
Bayt (‫)ב‬
Ê
Saturn
Heh (‫)ה‬
Aries (1)
Ajna
Gimel (‫)ג‬
E
Jupiter
Vav (‫)ו‬
Taurus (2)
Throat
Dalet (‫)ד‬
I
Mars
Zayn (‫)ז‬
Gemini (3)
Heart
Kaf (‫)כ‬
O
Sun
Het (‫)ח‬
Cancer (4)
Tet (‫)ט‬
Leo (5)
Solar Plexus
Peh (‫)פ‬
A
Venus
Maym (‫)מ‬
Water
Yud (‫)י‬
Virgo (6)
Lamed (‫)ל‬
Libra (7)
Sacral
Raysh (‫)ר‬
U
Mercury
Nun (‫)נ‬
Scorpio (8)
Sameck (‫)ס‬
Sagittarius (9)
Ayin (‫)ע‬
Capricorn (10)
Shin (‫)ש‬
Fire
Tzaddie (‫)צ‬
Aquarius (11)
Qof (‫)ק‬
Pisces (12)
Base
Tav (‫)ת‬
Ô
Moon
10
Alice Bailey
Pluto/Vulcan
Venus
Earth/Saturn
Sun/Jupiter
Mars/Neptune
Uranus
Pluto
The Jacob’s Wheel mandala derives the names of the Ophanim angels using the same 49-based
mathematical formula.
11
The complete Hebrew alphabet.
12
This attribution is based on the supposed occult use of A4 (441 Hz) by the ancient Egyptians in the King’s
Chamber of the Great Pyramid. (See below.)
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12 Esoteric Harmonics
I think the most meaningful way of associating the Hebrew alphabet with the esoteric note
frequencies is by firstly assigning the seven Double letters to the seven major frequencies as per the
table above, and then allowing the other Hebrew letters to fall naturally into place around them.
In the table, the seven Hebrew Double letters are listed in their natural order from Bayt to Tav. The
twelve Simple letters are also listed in their natural order, as are the three Mother letters. The
Mother letter Shin is assigned to the middle frequency of the lowest octave, while the Mother letter
Maym is assigned to the middle frequency of the middle octave. The Mother letter Alef is placed one
note above the three octaves because it represents the transition into a higher universe. The Simple
letter Vav falls naturally into the middle frequency of the highest octave (which is quite appropriate
since it is esoterically associated with Alef13).
We can look at the three octaves of this table as symbolically portraying the three lowest planes of
our solar system—the mental, astral, and physical planes. Each of these planes has seven sub-planes
which, in the table, are associated with the seven natural notes of each octave.
The next level of development (or universe) is represented by the dimensional shift from F4 (343 Hz)
to G4 (392 Hz) because the frequency value of F4 (the ‘Great Tone’) reflects the vibratory extent of
the 343 sub-planes our solar system. The shift to G4 thus represents a quantum jump into a higher
level of existence.
Astrologically and microcosmically, this shift also reflects the transition from a house-based (i.e.
personality-based) conscious focus to a zodiac-based (i.e. group-based) conscious focus. This is an
evolutionary shift that involves the redirection of consciousness from the three lowest planes of our
solar system into the higher planes. This symbolism is, of course, based on the view of the three
esoteric scales as representing the three lowest planes of our solar system.
Below F4 the seven major esoteric tones are separated by fourteen tones that are fractional
multiples of 49 Hz. These fractional tones reflect (and symbolize) the dominant presence of the form
principle as it shapes the three lowest planes of our solar system. Like the seven major
chakra/planetary tones, all the esoteric frequencies above F4 are whole number multiples of 49 Hz.
This lack of fractional multiples above F4 is an indication of the more ethereal nature and quality of
the plane of buddhi (and those beyond), and the relative lack of ‘gross substance’ within those
higher planes.
The astrological correspondences of the seventh column of the table are based on a system
described in the ancient Hebrew metaphysical text—the Sefer Yetzirah.
13
According to the Sefer Yetzirah.
Page 12
13 Esoteric Harmonics
The eighth column lists the planet-chakra correspondences as presented by Alice Bailey in her book
Esoteric Astrology.14 Where a chakra has two planets assigned to it, the first planet is the
correspondence for ‘average humanity’ while the second planet is applicable for disciples and
initiates.
14
Esoteric Astrology, by Alice Bailey. Lucis Press. Pg. 517.
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14 Esoteric Harmonics
The Seven Major Esoteric Tones
In the table above, the Hebrew alphabet sequence (of column five) symbolizes the descent of
consciousness (and spirit) into the depths of the form principle.
The seven Double letters (and their associated planets) represent the submergence of the
consciousness principle into the substance of the lower planes (i.e. which latter is represented by
the twelve Simple letters, and their corresponding twelve terrestrial houses). The spirit principle is
symbolized by the three Hebrew Mother letters and the three esoteric elements, Air, Water, and
Fire.
The table also aligns the seven major chakras with the seven major frequencies providing us with a
series of key tones that can be used when working to bring the chakras into balance.
Planet16
Saturn
6
Ajna
Hesed
Jupiter
5
Throat
Geburah
Mars
4
Heart
Tifaret
Sun
3
Solar Plexus
Hod
Mercury
2
Sacral
Netzah
Venus
1
Base
Yesod
Moon
Mental Plane
Sefirah15
Da’at
Physical Plane
Chakra
Crown
Astral Plane
(X49)
7
Lower
Esoteric
343 Hz
318.5 Hz
294 Hz
269.5 Hz
245 Hz
220.5 Hz
196 Hz
171.5 Hz
159.25 Hz
147 Hz
134.75 Hz
122.5 Hz
110.25 Hz
98 Hz
85.75 Hz
79.625 Hz
73.5 Hz
67.375 Hz
61.25 Hz
55.125 Hz
49 Hz
Higher
Note
F4
E4
D4
C4
B3
A3
G3
F3
E3
D3
C3
B2
A2
G2
F2
E2
D2
C2
B1
A1
G1
15
These sefirotic correspondences are my own.
These planetary correspondences are my own. They follow the standard Hebrew Double letter order except
that the positions of Peh (Netzah/Venus) and Raysh (Hod/Mercury) are interchanged. This slight
rearrangement brings the Hebrew Double letter archetypes into alignment with the Eastern chakra system.
16
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15 Esoteric Harmonics
The seven chakras are naturally associated (or have an affinity) with the esoteric octave in which
they are found. The Crown, Ajna, Throat, and Heart chakras are all associated with the highest
octave (i.e. G3 to F4) representing the mental plane. The Solar Plexus and Sacral chakras are
associated with the middle octave (i.e. G2 to F3) representing the astral (or emotional) plane. The
Base chakra is associated with the lowest octave (i.e. G1 to F2) representing the physical plane.
During practical esoteric work the seven key tones can be sounded in sequence, or as one chord (i.e.
combining the seven notes), or singly when one chakra is the desired focus. (But please proceed with
caution!)
Base
Sacral
Note (Hz) G1 (49) G2 (98)
Solar Pl.
D3 (147)
Heart
G3 (196)
Throat
B3 (245)
Ajna
D4 (294)
Crown
F4 (343)
Single
Scale
Chord
[Double-click the icons above to hear the seven chakra tones from G1 to F4. Note however, that you
may not hear G1 on account of it being such a low frequency.]17
[Click the following icon to hear a less pure, but audible, synthesised G1 tone.]
[On the 11th May, 2009, it was communicated to me in a dream that consistent use of these tones
during meditation will produce experiences not unlike those felt during planetary transits to natal
planets in your astrological chart. Apparently, when a transiting planet aligns with a natal planet,
vibrations emanating from the transiting planet impact upon the chakra associated with the natal
planet and impress upon it (for a short time) a higher vibration that seeks to raise the existing
vibration of the chakra. This ‘entrainment’ process occurs in periodic stages (throughout many lifetimes) during which time the chakras are gradually tuned to the higher frequencies of the overshadowing planetary Logoi. The periodic imposition of these divine planetary harmonics upon the
chakras produces physical and psychological experiences that need to be undertaken, processed,
and reconciled as part of the evolutionary vibration-raising process.]
17
The frequency values of these audio tones are precise. They were created using specialized frequency
oscillation software.
Page 15
16 Esoteric Harmonics
Harmonic Heart-Brain Resonance
The human mind and body enters a meditative state through the process of relaxation and breath
control. As the breathing rhythm slows, the resonant frequency of the human body is adjusted
towards the fundamental esoteric frequency of 7 Hz. This physical attunement occurs both in the
heart and in the head.
When the frequency rate of 7 Hz is reached the usual resistance of the heart’s aorta to the flow of
blood in the heart is greatly diminished and a mysterious standing wave is established.18
“When a subject is totally relaxed and has achieved a deep meditative state, a slow,
rhythmic sine wave pattern can be registered by a cardiograph-type sensing device. What
is being measured is a standing wave in the aorta. There is a heart-aorta resonating
oscillator which affects other parts of the body, including the brain.
“Resonance occurs when the natural vibration frequency of a body is greatly amplified by
vibrations at the same frequency from another body. Oscillators alter the environment in a
periodic manner. When in a deep meditative state the regular movement of the body
indicates that a standing wave is set up in the vascular system, specifically in the aorta.
18
The following image of the human heart is courtesy of Wikipedia.
Page 16
17 Esoteric Harmonics
This standing wave affects several other resonate systems in the body, all of which are
driven by this large signal.
“A paper by Paul F.J. New, and several current papers, indicate the presence of a major
resonate cavity oscillator located between the heart and the bifurcation, where the aorta
divides itself. When the timing of the pressure pulses travelling down the aorta coincide (in
phase) with the reflected pressure pulse, a standing wave is achieved. When this frequency
approaches 7Hz, a progressively amplified wave form is created by resonance, resulting in
a large oscillation affecting every other circuit in the body tuned to this frequency.”19
Interestingly, the Earth also has a fluctuating resonant frequency that approximates 7 Hz, called the
Schumann Resonance. This is a measure of the electromagnetic field that stands between the
Earth’s surface and its ionosphere.
The human brain also functions within a frequency range that oscillates around 7 Hz. In normal
waking consciousness the brain operates at a level of 14 Hz or above. This is known as the Beta wave
frequency. Medical science divides the wave frequencies of the brain into four basic ranges:
1. Delta waves (1-3 Hz) : dreamless deep sleep and coma.
2. Theta waves (4-7 Hz) : dream sleep.
3. Alpha waves (8-12 Hz) : relaxed awake condition.
4. Beta waves (13-40 Hz) : normal waking consciousness.
As you can see, the 7 Hz frequency level marks the transition point between the Theta and Alpha
wave states, and therefore represents the middle frequency range (i.e. between 1 Hz and 13 Hz) of
the four basic states of human consciousness.
By analogy then, it is possible that the fluctuating Schumann Resonance field of the Earth represents
the changing state of the Earth’s consciousness. If this is the case, then the interaction between the
two wave-forms—i.e. the human brainwave and the Earth’s electromagnetic standing wave, might
represent the merging of microcosmic human consciousness with the macrocosmic consciousness of
the Earth. Because we are all immersed in the Earth’s electrostatic field, our brainwaves are
therefore necessarily interwoven with it.
“All biological processes are a function of electromagnetic field interactions. EM fields are
the connecting link between the world of form and resonant patterns.
19
Meditation and Resonance Effects, by Richard Alan Miller.
Page 17
18 Esoteric Harmonics
“The patterns are arbitrary forms which are non-physical. Archetypal forms are based on
inherent characteristics and correspondences. This provides a basis for what we would call
resonant phenomena in archetypal systems. EM fields embody or store gestalts, patterns
of information. An archetype may then be seen as a specific geometrical system of
standing waves occurring in the brain as a space-time shape ("key")…
“A human being, immersed in the galactic hydrogen-helium field, may also utilize the
pulsing feedback between man and the galaxy to build up the resonance effects, much like
we would tune a radio. These primary frequencies are multiples of the base frequency 7
Hz.”20
Because the notes of the esoteric scale are based on the multiplication of 49 Hz, they are
vibrationally attuned to the base-7 frequency of the human body and mind, and therefore have the
potential to stimulate consciousness to greater levels of awareness.
But to take full advantage of the power of these frequencies a rhythmic breathing exercise should be
undertaken (i.e. during the sounding of the tones) so that the 7 Hz heart resonance frequency is
established in union with the 7 Hz brainwave frequency. The mutual resonance set up between the
heart and the head is an essential prerequisite for a successful meditation. Thus, not only do the
head and the heart need to be harmonized within the psyche, but also within the physical body.
20
Ibid.
Page 18
19 Esoteric Harmonics
Chakra Tone Meditations
The seven chakra tones should be used carefully during the practice of meditation. I suggest
beginning with a short five minute chakra tone session—that is, a five minute sounding of each of
the seven chakra tones, sounding one per day, perhaps for a few weeks. You should allow your own
intuition to be your guide in this matter. I also suggest that you finish each individual chakra tone
meditation with a sounding of the seven-chakra chord as this will tend to bring the chakras back into
equilibrium as the meditation ends.
There is no need to consciously focus on the individual chakras during these meditations. Indeed,
that could prove hazardous. Again, let your intuition be your guide. The tone itself should stimulate
changes in consciousness, and have a purifying effect on its associated chakra. Relax your mind and
allow each tone to naturally stimulate those aspects of your psyche and physical being that respond
to its resonance. Take note of any visions that arise in your mind’s eye and record the results of each
session in a meditation diary.
As mentioned above, a full program of chakra meditations would begin with a series of five minute
meditations and then, after a few weeks, progress to a series of ten minute meditations. Then after
a few more weeks the meditation time can be increased to fifteen minutes, then twenty minutes,
and finally thirty minutes. These times only refer to the actual sounding of the chakra tones. The
meditative process can, and should, continue after the tone has ended.
Here follows a suggested timetable for the chakra tone meditations.
Duration Saturday
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Sunday Monday Tuesday
Wednesday
Thursday Friday
5 Mins
Crown
Heart
Base
Throat
Solar Plexus
Ajna
Sacral
10 Mins
Crown
Heart
Base
Throat
Solar Plexus
Ajna
Sacral
15 Mins
Crown
Heart
Base
Throat
Solar Plexus
Ajna
Sacral
20 Mins
Crown
Heart
Base
Throat
Solar Plexus
Ajna
Sacral
30 Mins
Crown
Heart
Base
Throat
Solar Plexus
Ajna
Sacral
Page 19
20 Esoteric Harmonics
To help facilitate this meditation program I have created a DVD that contains a selection of chakra
tones of various durations. The sound files are high-quality Windows® Media Audio (WMA) files that
can be played directly through your computer as you meditate. These files can also be transferred to
most brands of MP3 players (though not the Apple® IPod, or Sony® brand, I don’t think), or you can
use the files to make personalized audio cd-roms that are playable on any cd-rom player.
The sound files included on the DVD are as follows:














The Base Chakra Tone (49 Hz) – 5, 10, 15, 20, & 30 minute files
The Sacral Chakra Tone (98 Hz) – 5, 10, 15, 20, & 30 minute files
The Solar Plexus Chakra Tone (147 Hz) – 5, 10, 15, 20, & 30 minute files
The Heart Chakra Tone (196 Hz) – 5, 10, 15, 20, & 30 minute files
The Throat Chakra Tone (245 Hz) – 5, 10, 15, 20, & 30 minute files
The Ajna Chakra Tone (294 Hz) – 5, 10, 15, 20, & 30 minute files
The Crown Chakra Tone (343 Hz) – 5, 10, 15, 20, & 30 minute files
The Chakra Chord Tone – 5, 10, 15, 20, & 30 minute files
The Uranus Tone (392 Hz) – 5, 10, 15, 20, & 30 minute files
The Earth Logos Tone21 – A4 (441 Hz) – 5, 10, 15, 20, & 30 minute files
The Pluto Tone (490 Hz) – 5, 10, 15, 20, & 30 minute files
The Trans-Pluto Tone (539 Hz) – 5, 10, 15, 20, & 30 minute files
The Solar Logos Tone – D5 (588 Hz) – 5, 10, 15, 20, & 30 minute files
Miscellaneous Tones – E.g. YHVH, and OM – 5, 10, 15, 20, & 30 minute files
These files are pure tones of precise sine-wave frequencies created using specialized frequency
oscillation software. I chose to use the WMA sound format because I found that it produces a higher
quality sound when compared to the MP3 format.
If you would like to order a copy of my Esoteric Harmonics DVD please visit my AstroQab web-site,
or click the following icon to place your order. The cost of the DVD is USD $12. (Includes P&H.)
Download Sample Tone
(OM Tone 5 Mins)
21
Also called the King’s Chamber tone, and the Neptune tone. (See below.)
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21 Esoteric Harmonics
The King’s Chamber Tone22
During the last century sonic engineers discovered that the King’s Chamber (i.e. within the Great
Pyramid of Giza) resonates very closely to the frequency of the note A4. This note is generally
recognised as having a standard frequency value of 440 Hz, but the true esoteric value of the note is
441 Hz (i.e. 9 x 49). One researcher who agrees with this proposition is the Russian author Valery
Uvarov.
“The wands held in the left hand of the priest who is depicted on the first main panel are
shown in a ratio connected with the frequency of A. The standard value accepted for the
pitch of A today is 440 Hz, but 441 Hz is more precise. It is astonishing that no-one
particularly noticed that if you place the figures 441 after a decimal point, i.e. 0.441, what
you get is a function of the Golden Section...”
“…Today it is possible to say with complete certainty that the knowledge encoded on the
Hesi-Ra panels formed the basis for the construction of the pyramids. It represents the
missing link that was needed in order to be able to state that the pyramids were built on
the level of exact science.
“It is very important that the ratio between the dimensions of the two [measuring] rods in
the priest’s left hand is such that their product is 0.441, or the frequency of A [divided by a
thousand]. The calculation is quite simple. The two rods measure 0.5 and 0.822 [units].
Multiplying those two values, 0.5 x 0.882 = 0.441.”
“It would seem that what is on the table is not sacrificial loaves but some sort of tuning
device set to the pitch of A. Confirmation of this is the fact that the distance between the
table-top on which the device stands and the floor is precisely 0.441 of the corresponding
standard length. The device stands on a base, and that base is equal to 441. The measuring
instruments used by the Ancient Egyptian architects were set using the tuning device.”23
It is Uvarov’s hypothesis that this A4 frequency—441 Hz—was considered very significant by the
ancient Egyptians. And if he is correct, then it seems to have played an important (even central) role
in the occult rituals that were conducted in the King’s Chamber.
According to Uvarov…
22
23
Otherwise called the Earth Logos tone.
The Wands of Horus, by Valery Uvarov. Third Edition. 2001. Pp. 4-5.
Page 21
22 Esoteric Harmonics
“The pyramid, being simultaneously both antenna and resonator, is a re-transmitter of
certain energy flows arising from processes taking place in the cosmos, flows that are in
turn focused on the “Energy Source” inside the pyramid. The influence of this complex and
its correct interaction with human consciousness produced the effect of “Intercourse with
the Gods”. The immense pyramid complex at Giza was, in essence, a “Deep Meditation
Structure” enabling the pharaoh or priest to make contact with the Noosphere, the Earth’s
informational systems, and on occasion…even with representatives of other planetary
systems.”24
I’ll leave it to the reader to ponder this possibility.
If Uvarov is right, then the esoteric A4 note frequency (i.e. 441 Hz) may have the potential to
connect us consciously with the sphere of collective consciousness that surrounds the Earth. In other
words, it could (perhaps with the aid of a pyramid) link us consciously to the plane of Buddhi, and to
the divine Intelligence that is our Earth Logos.25
24
25
Ibid. Pg. 9.
For this reason I also call A4 the Earth Logos tone.
Page 22
23 Esoteric Harmonics
This concept aligns well with the esoteric function of the Jacob’s Wheel mandala—which is to help
us tune consciously into the creative-evolutionary cycles of the Earth Logos. These cycles (of varying
durations) are each composed of 441 phases and therefore the Jacob’s Wheel mandala can be said
to have a frequency value of 441 (9 x 49).
A special connection between the Great Pyramid and the number seven (and 7 x 7) is also suggested
by the theory that, like the Jacob’s Wheel mandala, it was constructed using the geometry of a
heptagram.
“The steeper angle of the heptagram is 51.428 degrees. This is very close to the angle of
slope of the sole surviving Wonder of the ancient world, the Great Pyramid of Giza, Egypt,
which is about 51.8 degrees. Further, the lesser slope of the heptagram is essentially the
same as the slope of the internal passageways in the Great Pyramid, about 26.5 degrees. If
a double heptagram (fourteen point star) is constructed, then the form of the Great
Pyramid is found in the center of interfacing lines, with a 51.428 degree angle of slope.
Many ancient Greek temples (such as those dedicated to Athena, Minerva, and Neith)
were based on seven-fold geometry. All this is suggestive of the importance ancient
architects attached to this number seven.”26 27
26
27
Sacred Geometry and the Design of Existence, by Philip Teertha Mistlberger.
See Appendix Two for some of my own observations regarding the architecture of the Great Pyramid.
Page 23
24 Esoteric Harmonics
The emphasis placed on the number seven by the creator of the Great Pyramid supports Uvarov’s
proposal that the lengths of the ancient Egyptian architects’ measuring rods were based on the
number 441 (9 x 7²).
It seems quite plausible to me that the smooth casing stones that originally covered the now
exposed rough stone surface of the pyramid might have been fashioned in such a way that they
rectified the small difference between 51.8° (the existing angle of slope) and 51.428° (the angle
derived from the heptagram). This would have required the casing stones near the base of the
pyramid to be slightly thicker than those positioned further up. Thicker casing stones at the base
would have provided firm support for the many higher casing stones pressing down upon them.
Generally speaking, the number 49 was obviously considered a very important number by the
ancient seers. For example, the Jubilee Cycle of the ancient Hebrews is composed of 7 x 7 year
cycles.
“And thou shalt number seven sabbaths of years unto thee, seven times seven years; and
the space of the seven sabbaths of years shall be unto thee forty and nine years.” 28
The end/beginning of each Jubilee period (i.e. the 50th year, or the 1st year) was marked by the
blowing of the Shofar—a ceremonial ram’s horn trumpet. It was not however, the appearance of the
horn itself that was emphasised in the ritual, it was the sound that the horn made. That is why in the
Mishna and the Talmud it is stated that no modifications to the Shofar that might effect its tone are
permitted. Thus, in this ancient rite we see again how the number 49 is linked esoterically with the
use of sound.
28
Leviticus 25:8. King James Bible.
Page 24
25 Esoteric Harmonics
The Solar Logos Tone
One of the reasons I have associated the A4 (441 Hz) tone with the Earth Logos is because the Great
Pyramid of Giza is said to be a symbolic representation of planet Earth29, and the A4 tone appears to
have played an important esoteric role in the arcane rituals that were conducted by the Egyptian
priests and pharaohs in the King’s Chamber. Another reason is because this number 441 (i.e. 9 x 49)
is connected with the Jacob’s Wheel mandala, and therefore is thought to be associated with the
energy body of the Earth Logos.
The reason I have chosen to assign the note D5 (588 Hz) to the Solar Logos is because of information
provided by Master Djwal Khul in Alice Bailey’s Treatise on Cosmic Fire.
“The solar system is (from the higher cosmic planes), seen as a vast blue lotus, and so on
down the scale; even the tiny atom of substance can be so considered. The distinction
between these various lotuses exists in the number and arrangement of the petals. The
solar system is literally a twelve-petalled lotus, each petal being formed of forty-nine
lesser petals.”30
This statement gives us the precise information we need to determine the symbolic ‘frequency’
value of our solar Logos. I mentioned at the very beginning of this treatise that there are a total of
343 (i.e. 7 x 49) sub-planes in our solar system, but that figure relates to its manifestation within the
cosmic physical plane. The number 588 (i.e. 12 x 49) is associated with the manifestation of the Solar
Logos as he exists on the higher cosmic planes.
Of course, the use of this tone doesn’t guarantee that you’ll experience a conscious link with the
solar Logos during your meditations, but it may stimulate an increased sense of awareness of his
energy and influence.
I believe that all these esoteric frequencies, because they are derived from multiples of the sacred
number 49, have the potential to help us tune into the vibrations of the higher-planes, and with
entities who exist upon those planes.
I have included on the Esoteric Harmonics DVD a series of solar Logos tones (i.e. 588 Hz) that can be
sounded during meditation sessions. (For more information see above, or visit my web-site.)
29
Many researchers have demonstrated how the physics of the Earth are encoded in the dimensions of the
Great Pyramid.
30
A Treatise on Cosmic Fire, by Alice Bailey. Lucis Press. Pg. 1018.
Page 25
26 Esoteric Harmonics
Angel Meditations
The following table includes all the esoteric as well as conventional frequency values for the entire
series of natural notes from G1 (1 x 49) to D5 (12 x 49). In this table I’ve also included the 26 letters
of the English alphabet.
These Hebrew letter correspondences can be used, for example, to derive the sound signatures of
the 72 angels of the Shem Ha-Meforash, or the Jacob’s Wheel angels, or any other angel whose
name has its roots in the Hebrew language.
Note
D5
C5
B4
A4
G4
F4
E4
D4
C4
B3
A3
G3
F3
E3
D3
C3
B2
A2
G2
F2
E2
D2
C2
B1
A1
G1
Esoteric
588 Hz
539 Hz
490 Hz
441 Hz
392 Hz
343 Hz
318.5 Hz
294 Hz
269.5 Hz
245 Hz
220.5 Hz
196 Hz
171.5 Hz
159.25 Hz
147 Hz
134.75 Hz
122.5 Hz
110.25 Hz
98 Hz
85.75 Hz
79.625 Hz
73.5 Hz
67.375 Hz
61.25 Hz
55.125 Hz
49 Hz
(X49)
Hebrew
12
11
10
9
(All letters)
8
Alef (‫)א‬
7
Bayt (‫)ב‬
Heh (‫)ה‬
6
Gimel (‫)ג‬
Vav (‫)ו‬
5
Dalet (‫)ד‬
Zayn (‫)ז‬
4
Kaf (‫)כ‬
Het (‫)ח‬
Tet (‫)ט‬
3
Peh (‫)פ‬
Maym (‫)מ‬
Yud (‫)י‬
Lamed (‫)ל‬
2
Raysh (‫)ר‬
Nun (‫)נ‬
Sameck (‫)ס‬
Ayin (‫)ע‬
Shin (‫)ש‬
Tzaddie (‫)צ‬
Qof (‫)ק‬
1
Tav (‫)ת‬
English
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
The English alphabet can be employed when tones are required that express English names and
words.
Page 26
27 Esoteric Harmonics
The frequency values of the notes of the esoteric heptatonic musical scale are based on a universal
occult principle, but their use in practical esoteric work remains experimental. Conceivably, there is
no limit to their possible applications
Theoretically, these frequencies could be used to tune into the vibrations of the devas of the planes
and thus open one’s consciousness to a sympathetic rapport with them. Certain meditative states
would need to be achieved to facilitate this process however.
The names of the Ophanim (i.e. the angels of the Wheels of God’s Chariot) are written in Hebrew
upon the Jacob’s Wheel mandala. These Hebrew names can be converted to sounds composed of
the esoteric frequencies of their letters. The resulting tones (or chords) can then be sounded (or
played) during meditation to establish contact.
For example, as I write this booklet I am nearing the end of a Taurus-Jupiter [3/5] four month phase
of Jacob’s Wheel. As indicated, this phase lasts for four months during which time I wish to remain in
a positive rapport with the angel of the phase whose name is ‫( גכסאל‬Gikasiel – pronounced
Jeekahsiel). To establish this connection I can combine the note frequencies of the three primary
Hebrew letters (Gimel, Kaf, and Sameck) that compose the name Gikasiel. These notes are: D4, G3,
E2.31 The result is a three note sequence that can be used to formulate a sound signature for the
Ophanim angel Gikasiel. One method is to play the three notes in sequence and then end with the
chord (i.e. that combines all three notes into one tone). Here’s the result…
Gikasiel
G4 D3 E2
The same process can be applied to, for example, the names of the 72 angels of the Shem HaMeforash, the angels of the planets, the zodiacal signs, etc. 32
31
32
The angel suffix ‘el’ (Alef, Lamed) can be ignored during this practice.
Recommended reading: Summa Angelica, by Leo Vinci. 2006.
Page 27
28 Esoteric Harmonics
Astrological Meditations
Note
D5
C5
B4
A4
G4
F4
E4
D4
C4
B3
A3
G3
F3
E3
D3
C3
B2
A2
G2
F2
E2
D2
C2
B1
A1
G1
Esoteric
588 Hz
539 Hz
490 Hz
441 Hz
392 Hz
343 Hz
318.5 Hz
294 Hz
269.5 Hz
245 Hz
220.5 Hz
196 Hz
171.5 Hz
159.25 Hz
147 Hz
134.75 Hz
122.5 Hz
110.25 Hz
98 Hz
85.75 Hz
79.625 Hz
73.5 Hz
67.375 Hz
61.25 Hz
55.125 Hz
49 Hz
(X49)
12
11
10
9
8
7
6
5
4
3
2
1
Hebrew
Solar Logos34
Alice Bailey
Earth Logos35
Air
Saturn
Pluto/Vulcan
Aries (1)
Jupiter
Venus
Taurus (2)
Mars
Earth/Saturn
Gemini (3)
Sun
Sun/Jupiter
Cancer (4)
Leo (5)
Venus
Mars/Neptune
Water
Virgo (6)
Libra (7)
Mercury
Uranus
Scorpio (8)
Sagittarius (9)
Capricorn (10)
Fire
Aquarius (11)
Pisces (12)
Moon
Pluto
Other33
(?)
Trans-Pluto (?)
Pluto
Neptune
Uranus
Saturn
Jupiter
Mars
Sun
Mercury
Venus
Earth/Moon
Another way of using these esoteric octaves is to combine the frequency of a planet in a natal
astrological chart with its house/zodiacal frequency to produce a tone (or chord) that symbolizes the
placement (and key sound signature) of that planet/house/sign combination.
The generation and sounding of these chords may promote certain meditative states that are useful
to the owner of the chart. For example: The Sun in Capricorn in the third house…
33
These planetary correspondences are my own. They are based on a particular understanding of the
evolution of consciousness in our Solar System.
34
This correspondence is based on information provided by master Djwal Khul in Alice Bailey’s book: A Treatise
on Cosmic Fire.
35
This correspondence is based on numerical associations with the Great Pyramid and Jacob’s Wheel.
Page 28
29 Esoteric Harmonics
Sun
G3
Personality
3rd House
A3
Soul
Sun
Capricorn
G3
D2
Sun
G3
Personality & Soul
3rd House
Capricorn
A3
D2
It is, of course, up to you to decide what astrological correspondences you will use when composing
these chords. Those listed in the table above are merely suggestions. Further research and much
experimentation is needed to discern the correct symbolic frequency correspondences of the
zodiacal signs, planets, and houses.
My preferred planetary correspondences (i.e. as listed in column six of the table above) possess the
following numeric relationships…
Page 29
30 Esoteric Harmonics
Planet
Earth/Moon
Venus
Mercury
Sun
Mars
Jupiter
Saturn
Uranus
Neptune (+Earth Logos)
Pluto
(x49) Frequency Higher Octave (x2)
1
49 Hz
Venus
2
98 Hz
Sun
3
147 Hz
Jupiter
4
196 Hz
Uranus
5
245 Hz
Pluto
6
294 Hz
(?) (+Solar Logos)
7
343 Hz
(?)
8
392 Hz
(?)
9
441 Hz
(?)
10
490 Hz
(?)
(x49) Frequency
2
98 Hz
4
196 Hz
6
294 Hz
8
392 Hz
10
490 Hz
12
588 Hz
14
686 Hz
16
784 Hz
18
882 Hz
20
980 Hz
The question marks (?) in the above table indicate astrological correspondences that are as yet
undetermined.
The table above makes it clear that, for example, the Jupiter tone is a higher octave of the Mercury
tone, the Uranus tone is a higher octave of the Sun tone, and the Pluto tone is a higher octave of the
Mars tone. Similarly, there is a special relationship between the Saturn tone (F4) and the higher
octave tone of 686 Hz (F5), but the cosmic body that is associated with that frequency is unknown.
Page 30
31 Esoteric Harmonics
The Pluto Tone
An interesting biblical reference that relates to the Pluto tone (i.e. B4 = 490 Hz) is from the Book of
Daniel…
“Seventy septets [490 time-periods]36 have been decreed upon your people [i.e. Israel] and
upon your holy city to terminate transgression, to end sin, to wipe away iniquity, to bring
everlasting righteousness, to confirm the visions and the prophets, and to anoint the Holy
of Holies.”37
The process of purification described in the above quote resonates quite well with the astrological
meaning and influence of the planet Pluto, and suggests that the B4 tone may be associated with
purging and purification.
Here is another biblical reference to the number 490—this time from the Christian Bible…
“Then came Peter to him, and said, Lord, how oft shall my brother sin against me, and I
forgive him? till seven times? Jesus saith unto him, I say not unto thee, Until seven times:
but, Until seventy times seven.”38
The statement by Jesus re-emphasises the supposed function of the 490 Hz vibration “to terminate
transgression, to end sin, to wipe away iniquity”39, or in other words, to effect a condition of purity.
Interestingly, the Hebrew word for ‘perfection’ has the numerical value 490.
‫[ תמים‬taw-meem'] = 400 + 40 + 10 + 40 = 490
“‫[ תמים‬taw-meem'] from 08552; TWOT - 2522d; adj. AV - without blemish 44, perfect 18, upright 8,
without spot 6, uprightly 4, whole 4, sincerely 2, complete 1, full 1, misc 3; 91 1) complete, whole,
entire, sound 1a) complete, whole, entire 1b) whole, sound, healthful 1c) complete, entire (of time)
36
This is usually interpreted as being 490 years.
The Book of Daniel. 9:24. Mesorah Heritage Foundation translation.
38
From: Matthew 18:21.
39
From: Daniel 9:24 (quoted in full above).
37
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32 Esoteric Harmonics
1d) sound, wholesome, unimpaired, innocent, having integrity 1e) what is complete or entirely in
accord with truth and fact (neuter adj./subst.).”40
“And when Abram was ninety years old and nine, the LORD appeared to Abram, and said
unto him, I am the Almighty God; walk before me, and be thou perfect [‫]תמים‬. And I will
make my covenant between me and thee, and will multiply thee exceedingly. And Abram
fell on his face: and God talked with him, saying, As for me, behold, my covenant is with
thee, and thou shalt be a father of many nations. Neither shall thy name any more be
called Abram, but thy name shall be Abraham; for a father of many nations have I made
thee.”41
The stated ‘perfection’ of Abram (i.e. in Genesis 17:1) alludes to a major initiation involving his
reception of the ‘covenant’ of YHVH. The initiation is sealed with the changing of his name from
Abram to Abraham.
Coincidentally, Abram’s name change to Abraham produces the numerical value 248…
‫( אברהם‬Abraham) = 1 + 2 + 200 + 5 + 40 = 248
The reason it’s coincidental is because the value of the initiatory title ‘Abraham’ reflects the 248 year
orbit of Pluto around the Sun. Remember, this B4 tone is thought to be associated with the planet
Pluto.
40
41
Strong Number H8549. From: Strong’s Hebrew Lexicon.
Genesis 17:1-5.
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33 Esoteric Harmonics
Conclusion
There is another interesting scale of frequency in musical theory. It’s called the natural harmonic
scale, and is based on the natural division of a string into seven harmonic parts according to the
following ratios…
Note
Ratio
Natural
Equal
Esoteric
C4
1/1
261.62557
261.62557
269.5
D4
9/8
294.329
293.665
294
E4
5/4
327.032
329.628
318.5
F4
4/3
348.834
349.228
343
G4
3/2
392.438
391.995
392
A4
5/3
436.043
440.000
441
B4
15/8
490.548
493.883
490
C5
2/1
523.251
523.251
539
As you can see, the natural harmonic scale derives different frequencies to the standard equaltempered scale. The equal tempered scale was adopted in 1939 as an international standard for the
sake of convenience. It was chosen instead of the natural harmonic scale because of the latter’s
impracticality of use in regard to some popular instruments, such as the piano. Its frequency values
are not derived from anything ‘organic’. The calibration frequency 440 Hz is a purely arbitrary value.
In past centuries the value of A4 has varied considerably—from 309 Hz to 455 Hz.42
The natural harmonic frequencies listed in the table above use as their starting point the equaltempered frequency value for C4—that is, 261.62557. But if we instead use the esoteric C4
frequency value (i.e. 269.5 Hz) we can compare the resulting natural frequencies with their esoteric
counterparts.
Note
Ratio
Natural
Esoteric
C4
1/1
269.5
269.5
D4
9/8
303.1875
294
E4
5/4
336.875
318.5
F4
4/3
359.333
343
G4
3/2
404.25
392
A4
5/3
449.166
441
B4
15/8
505.3125
490
C5
2/1
539
539
Looking at the table above, it is clear that the natural harmonic scale ratios produce frequencies that
don’t align very closely with the esoteric scale.
You might now be wondering: If the harmonic frequencies are based on the physics of ‘nature’—i.e.
on the natural harmonic ratios of a length of string, then why do they differ so greatly from the
42
See: Standard Pitch or Concert Pitch for Pianos.
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34 Esoteric Harmonics
esoteric frequencies? Aren’t the esoteric frequencies supposed to mirror the metaphysical structure
of our solar system?
I think the answer to these questions is related to the idea that our world (i.e. planet Earth) is not
itself in complete harmony with the spiritual forces that infuse our solar system. The Earth (and
everything within its sphere) is still evolving towards perfection, and therefore the natural harmonic
scale is also currently imperfect.
The Earth’s relative imperfection is symbolically indicated by the fact that there are no perfect circles
found in the natural world. And also, by the fact that its orbit around the sun is a 365.25 day cycle
instead of a perfect 360 day cycle.
Presumably, as the Earth evolves, the natural harmonic scale ratios will change and the natural note
frequencies will gradually move into alignment with the esoteric scale of sound.
It is because of the Earth’s relative imperfection and its evolutionary position in the cosmos that we
are forced to experience the process of cosmic ‘entrainment’. This occurs on many levels—physical
and psychological, individual and collective.
“Entrainment in the biomusicological sense refers to the synchronization of organisms to
an external rhythm, usually produced by other organisms with whom they interact
socially. Examples include firefly flashing, mosquito wing clapping as well as human music
and dance.” 43
Just like an average human-being, our Earth Logos can be imagined as being part of a social group.
His social group consists of cosmic friends and neighbours of varying degrees of evolution, and it is
natural for him to be influenced by their vibrations when he is in their company.
Contact with enlightened divine Entities (i.e. for example, the seven ‘Heavenly Men’) results in a
mingling of cosmic vibrations, and this has the effect of entraining the Earth’s vibration towards the
enlightened Being’s greater level of perfection.
The re-alignment of the Earth as it responds to these externally applied stimuli is a long and slow
process, but will result eventually in a more perfect world.
43
From: Wapedia.
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35 Esoteric Harmonics
The occult application of the esoteric tones upon the human energy/vibration system is based on
this same principle of ‘entrainment’.
Because the esoteric tones are part of a 7x7-based scale of frequency they are thought to mirror the
basic metaphysical structure of our universe, and therefore, to vibrate at a frequency rate of relative
perfection.
Thus, it is surmised that we can use the esoteric tones to assist in the entrainment of our individual
physical and psychological vibrations towards a greater level of perfection.
The fact that the esoteric scale is based on the multiplication of the number 49 means that after
each 49 Hz interval the threshold of a new dimension appears and a new initiation must be
undertaken in order to make the quantum leap to that higher vibrational level. This results in a
freedom from the limitations of the past (i.e. of the lower dimension), and it is this process of
liberation that was symbolized by the blowing of the Shofar by the ancient Hebrews during the
Jubilee year at which time all slaves were set free.
“This most extraordinary of all civil institutions, which received the name of "Jubilee" from
a Hebrew word signifying a musical instrument, a horn or trumpet, began on the tenth day
of the seventh month, or the great day of atonement, when, by order of the public
authorities, the sound of trumpets proclaimed the beginning of the universal redemption.
All prisoners and captives obtained their liberties, slaves were declared free, and debtors
were absolved. The land, as on the sabbatic year, was neither sowed nor reaped, but
allowed to enjoy with its inhabitants a sabbath of repose; and its natural produce was the
common property of all. Moreover, every inheritance throughout the land of Judea was
restored to its original owner.”44
By working with the major esoteric tones, which are all exact multiples of 49 Hz, we open ourselves
to the possibility of crossing new thresholds of personal awareness and experience. This may, of
course, also involve the letting go of old thought-forms, emotional complexes, and personal
behaviours, and this might be quite challenging (as all initiations tend to be).
It has been hypothesized by Uvarov that A4—the ninth major esoteric tone (i.e. the ‘King’s Chamber’
tone), was used by the ancient Egyptian priests (and Pharaohs) to cross a major cosmic vibrational
threshold. It is thought that the ritual may have involved a temporary death, or out-of-body
experience. He suggests that while the physical body lay in stasis in the King’s Chamber sarcophagus
the Ka (i.e. ‘spirit double’) would visit other realms before returning again to the physical body.
44
Jamieson-Fausset-Brown Bible Commentary. Lev. 25:8-23. The Jubilee.
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36 Esoteric Harmonics
It is as yet unknown whether or not the esoteric A4 tone will produce a similar ‘out-of-body’
experience during meditation. It is however, located within the buddhic plane octave (symbolically
speaking) which corresponds to a very high state of consciousness.
(X49)
14
13
12
11
10
9
8
7
Lower
5
Mental Plane
6
Higher
4
3
Astral Plane
2
Physical Plane
Esoteric
686 Hz
637 Hz
588 Hz
539 Hz
490 Hz
441 Hz
392 Hz
343 Hz
318.5 Hz
294 Hz
269.5 Hz
245 Hz
220.5 Hz
196 Hz
171.5 Hz
159.25 Hz
147 Hz
134.75 Hz
122.5 Hz
110.25 Hz
98 Hz
85.75 Hz
79.625 Hz
73.5 Hz
67.375 Hz
61.25 Hz
55.125 Hz
49 Hz
Buddhic Plane
Note
F5
E5
D5
C5
B4
A4
G4
F4
E4
D4
C4
B3
A3
G3
F3
E3
D3
C3
B2
A2
G2
F2
E2
D2
C2
B1
A1
G1
1
To achieve maximum results, the sounding of these tones must, of course, also be accompanied by a
meditation procedure.
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37 Esoteric Harmonics
The Research Continues!
Many Thanks For Your Support!
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38 Esoteric Harmonics
Appendix One
Music—A Divine Art45
“All sounds are a part of Him who wears a garment of Sound.” – Vishnu Purana
BOTH man and his universe are one, all parts are but the various players and their instruments. The
law of harmony holds all united, each slightest tone having its related sub- and overtones, its
essential modulations. The universe is a temple of eternal symphonic harmony, composed of seven
Tones. This is the doctrine of the Music of the Spheres, from Lemuria to Pythagoras, showing that
there are seven powers of terrestrial and sublunary nature, and seven great Forces. According to this
doctrine the world was itself called forth out of Chaos by Sound or Harmony, and constructed
according to the principles of musical proportion. Evolution, above and below, proceeds in seven
ways; these seven ways or tones are also the seven notes of the musical scale, which are the
principles of Sound.
The Secret Doctrine avers that ancient peoples knew more of the secret side of music than has
passed to posterity. Adept-kings and divine teachers, at periods too remote for the historian, were
the first Instructors of the human family in the arts and sciences. Every ancient legend ascribes
magic power to music, "the most divine and spiritual of the arts," asserting that music is a gift and
science "coming straight from the gods." The Hindus, more especially, attribute to divine revelation
all the arts and sciences. But with them music stands at the head of everything else. Their Mantra
Shastra has for its subject matter the force or power of letters, speech, or music in all its
manifestations. Sound (tonal modulations) may be produced of such a nature that the pyramid of
Cheops could be raised in the air ... or a dying man be revived and filled with new energy and vigor.
"What," asks Scipio in his ancient vision, "is this mighty and sweet harmony which fills my ears?" The
voice replies, "This melody of unequal intervals, yet proportionately harmonized, is produced by the
impulse and motion of the spheres themselves, which by blending high and low tones produces
uniformly divers symphonies. Mortals have become deaf to those sounds, by having their ears
continually filled with them ... and so this sound, which is generated by the exceedingly rapid
revolution of the whole Cosmos, is so stupendous that mortal ears cannot contain it." Two
millenniums later, in our own time, the Vision of Scipio is restated in scientific terms: "Vibration
which controls the forms into which matter shapes itself is considered as the common factor for the
appearance of the Cosmos in all its details. The Cosmos may with exactness be considered an
acoustical phenomenon, only an infinitesimal fraction of its full scope of vibration being within the
45
From: THEOSOPHY, Vol. 42, No. 4, February, 1954. Pp. 175-179. (Website)
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39 Esoteric Harmonics
range of our hearing or other senses. The material world is the pattern of a cosmical orchestral score
in progress of being performed. Truly the 'night is filled with music' and the 'stars sing together'.
They are all indeed held, revolved, and rotated by the vibrations of a great song." (New York HeraldTribune, 1941.)
With the elder Chinese, music was in close affinity with religion. They built their world upon the
harmonious action of heaven and earth. They regarded the animation of all nature, the movement
of the stars and the changes of seasons, as "grand world-music," in which everything keeps
steadfastly to its appointed course. This, they felt, taught to mankind a wholesome lesson. "Would'st
thou know if a people be well governed, if its manners be good or bad?" asks Confucius. "Examine
the music it produces!" The Yao Chi states that "In the ancestral temples, rulers and ministers, high
and low, listen together to music, and all is harmony and deference. Within the gates of the family,
fathers and sons, brothers and cousins, listen together, and all is harmony and affection. In this way
fathers and sons, rulers and subjects, were once united in harmony, and the people of the myriad
states were associated in love. Such was the method of the ancient kings when they framed their
music."
Said the Egyptian Hermes: "As for true music, to know this is to have a knowledge of the order of all
things. For the order of each separate thing when set together in one key for all, by means of skilful
reason, will make the sweetest and truest music." In Plato's Academy, music was the first subject
presented to his pupils, as he considered this art to be the one offering the best preparation for the
study of philosophy. In the Republic (III) he says, "Musical training is a more potent instrument than
any other, because rhythm and harmony enter into the inward places of the soul, on which they
mightily fasten, imparting grace, and making the soul of him who is rightly educated, graceful."
Again, in the Shu-King, the Emperor commands his minister: "K'wei, I appoint you to be director of
music, and to teach our sons, so that the straightforward shall be mild; the gentle, dignified; the
strong, not tyrannical; the impetuous, not arrogant."
The music of nature has everywhere been the first step to the music of art. In the Indian system,
their melodies allow no sounds that cannot be classified among the living voices of nature. Indian
music is, in the highest sense, pantheistic; but at the same time it is highly scientific. They of the
early Aryan races, first to attain to manhood, listened to the voice of nature, and concluded that
melody, as well as harmony, are both contained in the great common mother. The Hindus, the
Northern Buddhists, and all the Chinese, some thousands of years preceding the discoveries of
modern Western science, found that all the sounds of nature make only one tone, which is the
middle F, the fundamental tone of nature. This we can all hear, if we know how to listen, in the
eternal rustle of the foliage of great forests, in the murmur of waters, in the roar of the storming
ocean, and even in the distant roll of a great city. In the Hindu as in Chinese music, the middle F,
called Kung or Emperor tone, is the keynote, the starting point, around which are grouped all the
other sounds.
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40 Esoteric Harmonics
It is stated that thousands of years ago the Chinese possessed a system of octaves a "circle of fifths."
Beginning with Hwang-ti, who reigned in 2697 B.C., Chinese music assumes its characteristic form.
Hwang-ti sent one of his ministers, Ling Lun, to a place west of the Kuen Lun mountains. There he
found Indian musicians who knew the secret he was seeking. He took a bamboo rod, tuned to the
kung, and found that the proportion 2:3 gave him the next tone (the perfect fifth). Taking two-thirds
of each successive tone, he discovered that twelve tones could be made, the thirteenth leading him
back to the original kung. (In their 2:3 proportions as "fifths" the seven notes appear as F, C, G, D, A,
E, B.) According to Chinese ideas, music rests on two fundamental principles, the shin-li, or spiritual,
immaterial principle, and the chi-i-shu, or substance. Unity is above, it is heaven; plurality is below, it
is earth. Some inkling of the part played by music in the life of ancient China may be seen from the
following statement found in the book called The Yellow Bell by Chao-mai-pa: "In 1100 B.C., under
the Dynasty of Chou, the orchestra was the Festival Orchestra, called Yen-yo. History tells us that the
musicians (more than ten thousand in number) were divided into nine groups, playing
simultaneously upon 300 different kinds of instruments.)"
Ancient Greece had its Orpheus, who was the son of Apollo, and from the latter received the lyre of
seven strings. The seven-stringed lyre symbolizes the sevenfold mystery of initiation. In China the
favorite instrument of Confucius was the seven-stringed ch'in. To all the demi-gods, heroes and
teachers of the Past, Mythology ascribes wondrous powers in the use of sound. Orpheus played to
such perfection that nothing could withstand the charm of his music. Not only his fellow mortals but
wild beasts were softened by his strains, and gathering round him laid by their fierceness, entranced
by his play. The trees and rocks were sensible to his charm. Kui, a Chinese musician, says: "When I
play my kyng the wild animals hasten to me, ranging themselves in rows, spell-bound by my
melody." The Bhagavata Purana speaks of Krishna as the "Eternal Boy, first Master of all the Arts."
He began as a flute-player, fascinating the village maids and youths and the animals of the jungle. He
ended by giving lessons to great Narada in the art of playing the vina. The Mahabharata describes
his complete course of education, saying that he learned the "64 fine arts" including music, in 64
days. "Krishna used often to play his flute in the woods. He made his appearance manifold and
danced with the Gopis, he playing the flute and the Gopis their lutes. And as they played, all the gods
came down from heaven to see the dancing, and wind and water stood still to listen."
Orpheus came from India, and Orpheus also is the type of the Egyptian Thoth, inventor of the arts
and sciences, including music, for Egypt. The Greeks thus owe their knowledge of music primarily to
the Hindus. It is also pointed out that the Chinese have a system of music essentially the same as the
Greeks, "a scale consisting of two conjunct tetrachords—the keynote being the fourth of the scale.
Other details seem to point to a time in the far-distant past when both races were in contact with
one source. Then came a day of disruption -- one race eastward, the other westward, each pursuing
their own way." However, as shown in Theosophical works, both nations had recourse to India; in
addition to the other fact that "both the Greeks and the Chinese belonged to the seventh sub-race
of the Atlanteans." It was the Egyptians who were considered to be the best music teachers in
Greece. "There can be no doubt as to the character of Egyptian music. It must have been both
solemn and majestic. This would correspond to all the philosophical notions entertained by the
Egyptians."
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41 Esoteric Harmonics
Plato tells us that amongst the melodies sacred to Isis were songs of immense antiquity, as he
believed that good music had existed among the Egyptians for 10,000 years without suffering any
change. "In their possession," says the Greek philosopher, "are songs having the power to exalt and
ennoble mankind, and these could only emanate from gods and god-like men." The Egyptians
themselves entertained similar thoughts concerning the origin of these melodies. In the temple of
Dakkeh is a picture of Ptah playing on a harp. Osiris was also looked upon as a patron deity of song.
In many representations Osiris is accompanied by the nine female singers whom the Greeks
subsequently transformed into the "nine muses."
The priests of ancient nations understood the secret power of music not only upon the human spirit,
but as well upon the health of the body. They understood, perhaps, that "the vibrations constituting
the notes of the musical scale are strictly analogous to the scale of chemical elements, and also to
the scale of colour ..." Our modern temples of healing have, in this regard, much ground still to
recover. The ancients quite evidently knew what to avoid and what could be safely used in these
hidden realms of the new Physics; that "certain kinds of music throw us into frenzy; other kinds exalt
the soul to religious aspirations. Some colors excite, others soothe and please." The Odyssey (Book
XIX) tells us that after a hunting episode "the wounds of the noble Odysseus they bound up skilfully,
and stayed the black blood with a song of healing."
And now, as then: "When we think of music, how it reaches to the height of heaven and embraces
the earth; how there is in it communication with the spirit-like processes of nature, we must
pronounce its height the highest, its reach the furthest, its depth the most profound, its breadth the
greatest. When one has mastered completely the principles of music, the natural, gentle and honest
heart is easily developed, and with this development comes joy. This joy merges in a feeling of
repose. The man in this constant repose becomes heaven-like, his actions spirit-like. So it is when
mastering music. One regulates his mind and heart." (Yao Chi.) Nor is it probable that our dynamic
times would suffer from such occasional "repose."
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42 Esoteric Harmonics
Appendix Two
The Great Pyramid & the Heptagram
It is obvious when looking at a cross-sectional plan of the Great Pyramid of Giza that its design is
based to a considerable extent on the geometry of a heptagram.
One must assume therefore that the ancient builder of the pyramid intended its architecture to
express something of the esoteric meaning of the number seven.
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43 Esoteric Harmonics
That the Great Pyramid has a major connection with the number seven is supported by the
important fact that the fundamental and very ancient46 Egyptian measuring unit—the cubit—was
equal to seven hand-palms. The cubit was the unit of measure used to build the Great Pyramid. Also,
as we have seen, the number seven is evident in the acoustics of the King’s Chamber because its
resonant frequency is equivalent to 441 Hz (i.e. 9 x 7²). 47
But the heptagonal geometry of the Great Pyramid becomes really obvious when a heptagram is
overlaid upon its cross-section.
The first thing to notice is that three points of the heptagram when connected form the precise
geometric shape of the pyramid. This shape is represented by the blue triangle in the diagram
above.
46
47
It seems to have existed long before the construction of the Great Pyramid.
And which in our musical scale corresponds to the note A4.
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44 Esoteric Harmonics
The gap that you see (i.e. in the diagram) between the blue triangle and the sides of the pyramid
represents the space that was once occupied by the (now missing) casing stones that used to adorn
the pyramid’s surface.
The angles of the sloping sides of the pyramid have been estimated by surveyors of the site to be
greater than 50° and less than 52°. Therefore the angle produced by the three points of the
heptagram (as per the diagrams) is a definite possibility—it being precisely 51.428°.
The next thing to notice is that the ‘air vents’ (or ‘star shafts’) that extend from the King’s Chamber
to the outside surface of the pyramid are precisely intersected by the upper left and right arms of
the heptagram.
These points of intersection are highlighted by the two small circles in the diagram above.
Now also notice that the Queen’s Chamber is located precisely at the centre of the heptagram. Is
this a coincidence?
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45 Esoteric Harmonics
As shown in the diagram above, the Queen’s Chamber sits at the very centre of the heptagram.
Notice also, that the King’s Chamber is contained within the seventh segment of the central
heptagon. (See the diagram below.)48 This might be relevant because of the apparent function of the
King’s Chamber as a resonator of the seven-fold vibration—and especially, the esoteric frequency of
A4 (i.e. 9 x 7² Hz).
(Note: The small black mark inside the King’s Chamber in these diagrams shows the relative height of
a human-being when compared with size of the pyramid.)
I suspect that various places and points within the geometric structure of the heptagram have a
specific resonance, symbolism, and meaning. And these geometric locations may translate to
48
I’m not sure whether or not this was intended by the architect to be something significant, but I mention it
just in case.
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46 Esoteric Harmonics
physical places within the pyramid. Consequently, the physical locations may carry the same
vibrations as their abstract counterparts in the plan of the heptagram.
It is also interesting to see how closely the major passageways within the Great Pyramid complex
align to the sloping angles and lengths of the lines of the heptagram. (See the image below.)
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47 Esoteric Harmonics
In the diagram above, the two dark blue lines are precisely the same length, and have precisely the
same angle of slope. The same is also true of the two green lines.
Pyramid scientists can and do quibble over fractions of degrees, and tiny units of length, but can this
quibbling be justified when the size of the Great Pyramid is so vast? Should we not leave some small
room for human error in its physical construction, and/or allow for some slight structural changes
wrought by the ravages of time? Shouldn’t the more obvious and simpler elements of the pyramid’s
design be our focus?
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48 Esoteric Harmonics
I think the extraordinarily close approximation of the geometry of the heptagram to the actual
physical structure of the Great Pyramid is extremely significant. It indicates that the heptagram is the
key to the symbolic and esoteric knowledge that the ancient Egyptian architects concealed within
the pyramid’s design. And this is yet to be fully deciphered and explained.
Copyright © Patrick Mulcahy, 2009.
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49 Esoteric Harmonics
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